Take another look at the sentence:
Falling into the sink, Claudine brushed her long hair, which got washed
down the drain and clogged the pipes.
Falling into the sink, a participle phrase, comes right before Claudine, an illogical target. Really, it's logical that hair, not a woman, fell into a sink! Before you continue, review the rules for misplaced and dangling modifiers.
Go back to the sentence to try again.